Question

In each of the questions below are given four statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All chocolates are holders.
No holder is a lamp.
Some lamps are desks.
All desks are pens.

Conclusions
I. Some pens are holders.
II. Some desks are lamps.
III. No pen is holder.
IV. Some pens are chocolates.

• A. Only I follows
• B. Only II follows
• C. Only III follows
• D. Only either I or III follows
• E. Only either I or III and II follow

Answer 1

The correct option is E Only either I or III and II follow

All chocolates are holders.
No holder is a lamp.
$A+E\Rightarrow E$-type of conclusion
No chocolate is a lamp.
Some lamps are desks.
All desks are pens.
$I+A\Rightarrow I$-type of conclusion
Some lamps are pens.
Conclusion II is the converse of the third premise.
Conclusions I and III form a complementary pair. Therefore, either I or III follows.